An object with a mass of $4 k g$ $4 kg$ is hanging from an axle with a radius of $14 c m$ $14 cm$ . If the wheel attached to the axle has a radius of $27 c m$ $27 cm$ , how much work would it take to turn the wheel $9 c m$ $9 cm$ ?

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Answer 1 · 2017-06-09T05:38:10

The work is $= 1.83 J$ $=1.83J$

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The load L=(4g)N#

Radius of axle $r = 0.14 m$ $r=0.14m$

Radius of wheel $R = 0.27 m$ $R=0.27m$

Taking moments about the center of the axle

$F \cdot R = L \cdot r$ $F*R=L*r$

$F \cdot 0.27 = 4 \cdot g \cdot 0.14$ $F*0.27=4*g*0.14$

$F = \frac{4 \cdot g \cdot 0.14}{0.27} = 20.3 N$ $F=(4*g*0.14)/0.27=20.3N$

The force is $= 20.3 N$ $=20.3N$

The distance is $d = 0.09 m$ $d=0.09m$

The work is

$W = F \cdot d = 20.3 \cdot 0.09 = 1.83 J$ $W=F*d=20.3*0.09=1.83J$

An object with a mass of 4kg4 kg is hanging from an axle with a radius of 14cm14 cm. If the wheel attached to the axle has a radius of 27cm27 cm, how much work would it take to turn the wheel 9cm9 cm?